Question
In hypothesis testing, failing to reject a false null
hypothesis is known as:Solution
- In hypothesis testing, there are two types of errors:
- Type I Error ( α ):  Rejecting the true  null hypothesis (H ₀ ). A "false positive."
- Type II Error ( β ):  Failing to reject (i.e., accepting) a false  null hypothesis (H ₀ ). A "false negative."
The power of a test (1- β )  is the probability of correctly rejecting a false null hypothesis. So, the error described in the question is a Type II error.
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Consider the following Java-like pseudo-code for inserting a node into a Binary Search Tree (BST):
  ```java
  class Node {
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